NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.3

A government organisation called the National Council of Educational Research and Training (NCERT) was created to assist Indian schools in raising the standard of instruction. Since multiple books were being recommended to students in the same standard, the Government of India developed it to maintain the curriculum’s uniformity. The NCERT is in charge of publishing the NCERT textbooks. The primary objectives of NCERT and the units that comprise the organisation are to conduct, promote, and coordinate research in areas related to school education; develop digital multimedia materials; and create and publish model textbooks, supplemental materials, newsletters, journals, and educational kits. NCERT curriculum is the model used by the Central Board of Secondary Education (CBSE) and many other state boards.

CBSE prefers NCERT Solutions. Since NCERT questions frequently occur in board examinations, students who appear in the board examination are encouraged to extensively review the NCERT solutions. Additionally, it plans pre-service and in-service teacher training programmes, supports creative teaching methods, and collaborates and networks with other educational institutions, including NGOs and state departments of education. There is an exercise at the end of each chapter. Students should carefully answer those exercise questions. Students are encouraged to practise these NCERT exercise problems before their exams because they serve as the basis for many exam questions.

The Central Board of Secondary Education (CBSE) advises students to use NCERT textbooks when studying. The importance of studying from NCERT textbooks is emphasised, and CBSE asserts that doing so can significantly increase student examination performance. Nearly all of the questions that occur on the board examination are included in NCERT textbooks. The Central Board of Secondary Education advises using NCERT textbooks in schools affiliated with it. The CBSE claims that studying from NCERT textbooks can improve students’ examination performance and outlinesthe advantages of doing so. Despite nearly covering every question that might appear on the board examination, it provides detailed explanations of all the topics in its textbooks. According to CBSE, in order to do well on their board examination, students must only study from NCERT textbooks and complete sample papers and past years’ papers.

One of the most important subjects in a student’s academic career is Mathematics. If students wish to succeed in the subject, they must practise consistently. Students should also have a strong understanding of Mathematics because it is a conceptual subject, so that they can do well on their examinations. Mathematics is an important subject for a student with aspirations because it helps in many different stages of life in addition to academic accomplishment. Additionally, it helps with regular tasks like improving intuition and managing personal finances, among others. It is a gift for a student to have access to the world through Mathematics. Mathematics is frequently referred to as the “partner of human existence” and is the cornerstone of organised life. It is a support system that helps  effectively and efficiently organise everything and maintains the world’s order.

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities (EX 8.3) Exercise 8.3 

For CBSE students preparing for exams, the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 are regarded as the best option.There are numerous exercises in this chapter. Students can find the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 on the Extramarks website.Students can go through the solutions and other study material straight from their website or mobile application or can download them according to their needs. Extramarks’ subject-matter experts carefully examine whether the solutions adhere to all CBSE regulations and solve the exercises’ questions using the proper methodologies.The Extramarks’ website is considered one of the most authenticated websites that provides reliable solutions.

Any student in Class 8 who is thoroughly familiar with all the ideas from the Mathematics textbook and knowledgeable about all the activities included in it can easily score the highest possible grade on the final examinations. Students may comprehend the types of problems that may be given in the examination from this chapter and learn the chapter weightage in terms of overall grade points with the aid of  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 so that they can adequately study for the final examination.

Students who struggle to understand the concepts in the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 can use Extramarks’ website as a reference. On Extramarks, they can find the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. Students will also benefit from the NCERT solutions by understanding the concepts well. The formulas and techniques used in the NCERT Solutions for Class 8 Maths, Chapter 8, Exercise 8.3 may be difficult to understand at times.With the help of the easily accessible NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 on Extramarks, students may revise at any time, as these solutions can be downloaded in PDF format for offline access.

Students must understand the steps and concepts required to complete the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3.Some sources may make it difficult for students to access the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. By employing a dependable source to obtain the NCERT solutions, the learning and preparation processes can become more authentic. Students can rely on the Extramarks website to obtain NCERT Solutions.

Extramarks is an online learning platform that focuses on preschool, K-12, higher education, and test prep segments to enable learning anywhere, at any time, by expertly blending education and technology.Extramarks aid students’ academic growth in every way possible. It provides every resource that students require to perform well on any in-person, board, or competitive exam. It provides students with a wide range of study tools, including K12 board preparation materials, NCERT Textbook Solutions, solved sample papers, and more, in addition to the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. Sample papers and past years’ papers are the two most essential preparation tools for board examinations.

Students can comprehend all the concepts with the help of Extramarks, which is a website that has various learning tools like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. Extramarks provides worksheets for the students registered on its website to assist them in identifying their areas of weakness so they may improve and perform well on the examination. Extramarks’ instructors work with students’ issues that classroom instructors are unable to comprehend, helping students  learn the material. Learning resources, such as the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, which are referred to by the CBSE students for their overall growth to encompass more than simply studying from textbooks, are the emphasis of Extramarks.

The Extramarks website advises students to gain a fundamental understanding of the examination format for the subject before appearing for the examination. It is advised because students can gain an idea of the kinds of questions that might have appeared in past years’ papers. Since related questions frequently appear in board examinations. So, before taking the board exam, Extramarks advises students to review a number of sample papers and prepare using a variety of questions. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 helps students understand the questions in Exercise 8.3 because it has a large number of formulas, making it challenging for students to understand each topic.  Access NCERT Solution for Class 8 Maths Chapter 8 – Comparing Quantities

Students are urged to review the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, as all of the concepts from the exercise are well discussed in these solutions. Students must review the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 on the Extramarks website to guarantee they do not lose any marks in their examinations. It is advised that students make notes of all the important questions with the help of NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 so they can review it at the conclusion without reading the entire chapter.

There are numerous exercises in this chapter that contain different types ofquestions as well. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 is considered one of the most important exercises for the preparation for the exams. As previously noted, the Extramarks’ experts have already resolved or responded to most of these inquiries. Extramarks’ study material is considered to be the most reliable material. It is crucial to comprehend all the concepts in the textbooks and work through the exercises that are provided in order to receive the greatest grade possible on the exams.

Mathematics, which is crucial for comprehending the world, forms the basis of human cognition and logic. Logic is encouraged and mental discipline is strengthened with the study of Mathematics. The first and most secure step in preparing for the examination is to consult the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. Having students study the material is one of the best strategies to help them develop their skills. Using the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 available on Extramarks, will help students enhancetheir comprehension. Although the Class 8 exam may be difficult for students, there are resources available to assist them in preparing, such as Extramarks’ NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3.

For the major boards like the ICSE, CBSE, and other educational institutions, Extramarks provides full curriculum-mapped solutions like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. The Extramarks website gives students access to a variety of technologies used in schools, such as the Assessment Centre, Smart Class Solutions, and Live Classes Platform. According to their needs, each student registered with the Extramarks’ website receives assistance from subject-matter experts.  Students can find the best instructors in the nation who have years of experience in their subject. Fast, in-depth learning is always prioritised by Extramarks in order to aid students in effectively comprehending the material. This helps students gradually enhance their academic performance and marks.

Students do not need to consult extra sources when studying from NCERT Solutions for examinations, which is one of the key advantages. The CBSE curriculum and grading system are followed by the NCERT textbooks and answers. Another benefit of NCERT is its level of authenticity. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are authored by experts, so students do not have to worry about whether the information is accurate. On the Extramarks’ website, students may find the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. The comprehensive NCERT solutions for the core courses are all available on Extramarks, and the material is easy to understand as it is compiled by subject-matter experts. To help students close the gap between their strong and weak areas related to  NCERT Class 8 Maths Chapter 8 Exercise 8.3, Extramarks develops thorough intelligence-backed reports and deals with each student’s concerns individually.

Exercise 8.3

Comparing amounts refers to the quantitative relationship between two quantities that captures their respective sizes. It is merely a tool for comparing quantities. Numerous techniques, including ratio and proportion, percentage, profit and loss, and simple interest, can be used to compare quantities.

The  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 must be approached in a correct manner so that the students can have a thorough understanding. The Class 8 Maths Exercise 8.3 will provide students with the necessary practise for learning, comprehending, and appreciating how interest rates and time interact to determine the time value of money. Therefore, these problems should be solved step-by-step while properly grasping the procedure and learning the fundamentals of Mathematics, which have enormous practical value.

Students can create perfect answers for the Mathematics examination by using the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 that are provided in PDF format. The solutions are meant to assist students in practising the problems and grasping the topics. Extramarks’ subject matter specialists have created the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, to aid students in strengthening their understanding of the various ideas linked to compound interest. Students can download the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 from the Extramarks’ website to improve their fundamentals.

Students who continue to practise through the NCERT Class 8 Maths Chapter 8 Exercise 8.3 available on the Extramarks website improve their comprehension of the NCERT topics and can perform well on their examinations. For students who want to score the highest marks, solid conceptual clarity is crucial. On the Extramarks website, which has the  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, students can study all the concepts. Additionally, Extramarks provides instructors who are experts in their field; as a result, students can ask professionals their questions.

Most students find Mathematics to be terrifying. Students can avoid battling with Mathematics by organising their ideas with the aid of Extramarks’ NCERT textbook solutions, such as the Class 8 Maths Chapter 8 Exercise 8.3. Extramarks provides simple solutions for all classes and subjects for students. Although students have always considered Mathematics to be challenging, learning Mathematics will be easier for them with Extramarks’ expert guidance. When students use the Extramarks’ NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 for practising questions, they will be able to achieve the greatest outcomes. Extramarks is a website that provides students with a variety of excellent educational courses so they can learn, practice, and succeed.

The  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are undoubtedly one of the most important study materials available on Extramarks’ website. There are countless theories, formulas, and other things that students must retain, and this is possible with the help of these NCERT solutions. Students must establish a solid foundation in order to grasp the subject with clarity. As a result, it is crucial for students to select the appropriate study materials. Students may use Extramarks’ learning tools to prepare for their examinations. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are available on the internet, and Extramarks incorporates graphics into its study materials to grab students’ attention.

Chapter 8 Comparing Quantities of Class 8:-

Students can organise their main concepts and avoid problems by using the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 provided by Extramarks.Students who have signed up on the Extramarks website can access these solutions from anywhere at any time to study. The  NCERT solutions from Extramarks has many advantages for students. They do not need to look any further because Extramarks is a reputable website that provides various solutions, like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3.

Extramarks’ NCERT Solutions for Class 8 Maths, Chapter 8, Exercise 8.3 can help students prepare for exams.By consistently practising with the help of the NCERT solutions offered by Extramarks, students can advance in their preparation. Students must comprehend the NCERT solutions in their entirety if they hope to perform well on their examination. The Extramarks website has detailed learning resources, like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 so that students will not have any trouble understanding the chapter. Students should be more familiar with the concepts presented in the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 in order to do well on the examination.

Extramarks offers NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 through visual and interactive learning modules. The effectiveness of home study is also increased by Extramarks by providing assignments, projects, essays, quizzes, or other tasks. Extramarks offers the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, including lessons for the CBSE and ICSE for the examination. This exercise is one of the many exercises in the Comparing Quantities chapter that is explained on the Extramarks website with the help of NCERT Solutions. Many students find the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 to be difficult.The first and most important step that students must do in order to prepare is to use the Class 8 Maths Exercise 8.3 Solution. Students should always give a thorough read to the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are offered by Extramarks because the NCERT textbooks do not include all of the solutions for the questions in the chapter exercises. The  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 available on the Extramarks website, aid students in thoroughly practising each concept and in understanding all the concepts. The NCERT Solutions for Class 8 Maths, Chapter 8, Exercise 8.3, assists students in completing problems faster and correctly.Students who consistently practise the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 can achieve excellent test results.

Students can find the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 on the Extramarks website. Students must thoroughly solve all the questions with the help of the NCERT solutions if they wish to improve their understanding of the chapter. NCERT solutions are one of the best resources for exam preparation. They help students solve problems more quickly and effectively. On the Extramarks website, the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are accessible in PDF format, making them convenient to access on any device.

The Extramarks’ website provides a range of excellent instructional courses so that students can learn, practice, and perform effectively. When students practise questions with the help of these solutions and the assistance of Extramarks, they will be able to get the best results. In order to arrange their concepts and avoid battling with Mathematics, Extramarks offers students NCERT textbook solutions like the  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. One of the best ways to get NCERT solutions is to surf through the Extramarks website. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are available for students to go through, which will aid them in understanding the logic behind each stage of the problem and its constituent parts.

NCERT Solutions for Class 8

Most of the fundamentals for the various subjects are covered through the eighth grade, and students are given a quick overview of all the concepts and subjects. Students should practise all the subjects thoroughly, including the questions from the exercises, if they want to grasp every subject quickly and be high achievers.

All of the NCERT solutions have been carefully designed by Extramarks’ subject-matter experts in order to assist students in passing with distinction. The Extramarks’ website offers the best  NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, keeping in mind the grading systems of the schools. It provides NCERT solutions for all subjects, including English and Hindi, Mathematics, Science, and Social Studies. When necessary, students can receive all of the NCERT solutions with examples.

Students should pay close attention to the NCERT solutions since they can use them to fully understand all of the answers without spending a lot of time or resources. Students may also obtain the PDF versions of the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. These PDFs contain the NCERT solutions with detailed explanations. The answer resources are created expressly to solve all of the students’ uncertainties. TTo ensure that students do not overlook anything while studying for exams, Extramarks includes additional questions with NCERT solutions in PDF format in addition to the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3.

Students learn more quickly and effectively using the NCERT solutions provided by Extramarks.Extramarks provides students with chapter-by-chapter worksheets and practise questions, as well as the NCERT Solutions for Class 8 Maths, Chapter 8 Exercise 8.3.. Additionally, Extramarks keeps an eye on how students are learning and helps them wherever they need it the most. Extramarks give students access to a variety of educational modules, like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 that can aid in their performance on their examinations. Extramarks offers students study aids like:

Complete coverage of the syllabus – Students occasionally lack the time to revise everything, and this is where the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 come in handy. Students can access study resources for the entire curriculum along with the NCERT solutions on the Extramarks website to ensure that theydo not lose any marks during any final or in-class exams.

Practice and Analysis – Extramarks offers students the NCERT solutions broken down by chapter, interactive exercises, NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3, an infinite number of practise questions, and more to help them fully comprehend every subject. Students can assess their amount of preparation and map their performance as a result.

Extramarks is a self-learning application that enables students to learn at their own pace. They can practise the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 and sample papers that they can customise awhichhelps them ikeeptabs on their performance.

Study materials that are thorough are available to students through the Extramarks’ Learning App, including the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3. It provides engaging visuals and animations to encourage students towards their studies.Extramarks makes learning fun and easy for students, so they don’t find the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 difficult.

Curriculum mapping: Extramarks provide lessons that are aligned with the curriculum, saving students the trouble of looking for assistance elsewhere.

Q.1

Calculate the amount and compound interest ona ₹ 10,800 for 3 years at 1212% per annumcompounded annually.(b) ₹ 18,000 for 212 years at 10% per annumcompounded annually.(c) ₹ 62,500 for 112 years at 8% per annumcompounded half yearly.(d) ₹ 8,000 for 1 year at 9% per annumcompounded half yearly. (You could use they ear by year calculationusing SI for mulatoverify).(e) ₹ 10,000 for 1 yearat 8% per annumcompounded half yearly.

Ans

(a) Principal=₹ 10,800 R=1212%=252% n=3∴Amount=P(1+R100)n =10800(1+252×100)3 =10800(1+25200)3 =10800(225200)3 =10800×225200×225200×225200 =15377.34∴C.I=Amount−Principal =15377.34−10800 =4,577.34

(b) Principal=₹ 18,000 R=10% n=212∴Amount=P(1+R100)n =18000(1+10100)212Since,the years are in fractional form,so we will calculatethe Amount for the whole part first and then we will calculatethe simple interest for the remaining fractional part.∴Amount=18000(1+10100)2 =18000(1110)2 =18000×1110×1110 =₹ 21,780

Now,we will take ₹ 21,780 as principal and calculate the simple interest for the next 12year.∴S.I=PRT100 =21780×10×12×100 =₹ 1089∴ Interest for the first 2 years=₹(21780−18000)=₹ 3780And interest for the next 12 year=₹ 1089∴ Total C.I.=₹ 3780+₹ 1089=₹ 4,869, andA = P + C.I.=₹ 18000+₹ 4869=₹ 22,869

(c) Principal=₹ 62,500 R=8% yearly=4% half yearly n=112=3 half years∴Amount=P(1+R100)n =62500(1+4100)3 =62500(2625)3 =62500×2625×2625×2625 =₹ 70,304∴C.I=A−P=₹ 70,304−₹ 62,500 =₹ 7,804(d) Principal=₹ 8000 R=9% yearly=92% half yearly n=1=2 half years∴Amount=P(1+R100)n =8000(1+9200)2 =8000(209200)2 =₹ 8,736.20∴C.I=A−P=₹ 8,736.20−Rs 8000 =₹ 736.20(e) Principal=Rs 10,000 R=8% yearly=4% half yearly n=1=2 half years∴Amount=P(1+R100)n =10,000(1+4100)2 =10,000(1+125)2 =10,000(2625)2 =10,000×2625×2625 =₹ 10,816∴C.I=A−P=Rs 10,816−Rs 10,000 =₹ 816

Q.2 Kamala borrowed ₹ 26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2nd year amount for 4/12 years).

Ans

Principal=₹ 26,400 R=15% per annum n=2412yearsSince,the years are in fractional form,so we will calculatethe Amount for the whole part first and then we will calculatethe simple interest for the remaining fractional part.∴Amount=26,400(1+15100)2 =26,400(2320)2

=26,400×2320×2320 =₹ 34,914Now,we will take Rs 34,914 as principal and calculate the simple interest for the next 13years.∴S.I=PRT100 =34,914×15×13×100 =₹ 1745.70∴ Interest for the first 2 years=₹(34,914−26,400)=₹ 8,514And interest for the next 13year=₹ 1745.70∴ Total C.I.=₹ 8,514+₹ 1745.70=₹ 10,259.70, andA = P + C.I.=₹ 26,400+₹ 10,259.70=₹ 36,659.70

Q.3 Fabina borrows ₹ 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Ans

Interest paid by Fabina=PRT100 =₹(12,500×12×3100) =₹ 4,500Amount paid by Radha=P(1+R100)n =₹ 12,500(1+10100)3 =₹ 12,500×(110100)3 =₹ 16,637.50C.I=A−P=₹ 16,637.50 −₹ 12,500 =4,137.50The interest paid by Fabina is ₹ 4,500 and by Radha is ₹ 4,137.50.Thus, Fabina pays more interest.i.e. ₹ 4500−₹ 4137.50=₹ 362.50Hence, Fabina will have to pay ₹ 362.50 more.

Q.4 I borrowed ₹ 12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

Ans

Principal=₹ 12,000 R=6% yearly n=2 yearsSimple Interest =PRT100 =₹(12,000×6×2100) =₹ 1,440∴Amount=P(1+R100)n =12,000(1+6100)2 =12,000(1+350)2 =12,000(5350)2 =12,000×5350×5350 =₹ 13,483.20∴C.I=A−P=₹ 13,483.20−₹ 12,000=₹ 1,483.20 C.I−S.I=₹ 1,483.20−₹ 1,440=₹ 43.20Therefore, the extra amount to be paid is ₹ 43.20.

Q.5 Vasudevan invested ₹ 60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get

(i) after 6 months?

(ii) after 1 year?

Ans

(i) Principal=₹ 60,000 R=12% yearly=6% half yearly n=6 months=1 half year∴Amount=P(1+R100)n =60,000(1+6100)1 =60,000(106100) = ₹ 63,600(ii) Principal=₹ 60,000 R=12% yearly=6% half yearly n=1 year=2 half years∴Amount=P(1+R100)n =60,000(1+6100)2 =60,000(106100)2 = 60,000×106100×106100 = ₹ 67,416

Q.6 Arif took a loan of ₹ 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after

1 1 2 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaaiGacaGaaeqabaWaaqaafaaakeaacaaIXaWaaSaaaeaacaaIXaaabaGaaGOmaaaaaaa@3B51@

years if the interest is

(i) compounded annually.

(ii) compounded half yearly.

Ans

(i) Principal=₹ 80,000 R=10% per annum n=112yearsSince,the years are in fractional form,so we will calculatethe Amount for the whole part first and then we will calculatethe simple interest for the remaining fractional part.∴Amount=80,0001+101001 =80,0001+110 =80,00011102 =₹ 88,000Now,we will take Rs 88,000 as principal and calculate the simple interest for the next 12year.∴S.I=PRT100 =88,000×10×12×100 =₹ 4,400Interest for the first year = ₹ 88000 − ₹ 80000 = ₹ 8,000And interest for the next 12year = ₹ 4,400Total C.I. = ₹ 8000 + ₹ 4,400= ₹ 1,2400∴A = P + C.I. = ₹ 80000 + 12400 = ₹ 92,400

ii Now,the interest is compounded half yearly.Rate=10% per annum=5% per half yearn= 112years=3 half years ∴Amount=80,0001+51003 =80,0001+1203 =80,00021202 =₹ 92,610

Therefore, the difference between the amounts = ₹ 92,610 − ₹ 92,400 = ₹ 210

Q.7 Maria invested ₹ 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find

(i) The amount credited against her name at the end of the second year.

(ii) The interest for the 3rd year.

Ans

(i) Principal=₹ 8,000 R=5% yearly n=2 years∴Amount=P(1+R100)n =8,000(1+5100)2 =8,000(2120)2 = 8,000×2120×2120 = ₹ 8,820

(ii) Now,we have to calculate the interest for the third year. So we will take Rs 8,820 as principal and calculate the simple interest for the next year.∴S.I=PRT100 =8820×5×1100 =₹ 441

Q.8 Find the amount and the compound interest on ₹10,000 for years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?

Ans

Principal=₹ 10,000 R=10% yearly=5% half yearly n=112 years=3 half years∴Amount=P(1+R100)n =10,000(1+5100)3 =10,000(1+120)3 =10,000(2120)3

= 60,000×2120×2120×2120 = ₹ 11,576.25C.I=A−P =₹ 11,576.25−Rs 10,000 =₹ 1,576.25Now we have to calculate the interest compounded annually.Since,the years are in fractional form,so we will calculatethe Amount for the whole part first and then we will calculatethe simple interest for the remaining fractional part.∴Amount=₹ 10,000(1+10100)1 =₹ 10,000(1110) =11,000

Now,we will take ₹11,000 as principal and calculate the simple interest for the next 12years.∴S.I=PRT100 =11,000×10×12×100 =₹ 550∴ Interest for the first year=₹11000−₹ 10000=₹ 1,000∴ Total compound interest=₹1000+₹ 550=₹ 1,550Yes,the interest would be more when compounded half yearlythan the interest when compounded annually.

Q.9 Find the amount which Ram will get on ₹ 4096, if he gave it for 18 months at

1212

% 2 per annum, interest being compounded half yearly.

Ans

Principal=₹ 4,096 R=1212% yearly=254% half yearly n=18 months=3 half years∴Amount=P(1+R100)n =₹ 4096(1+25400)3 =₹ 4096(1+116)3 =₹ 4096(1716)3 = ₹ 4096×1716×1716×1716 = ₹ 4,913Therefore, the required amount is ₹ 4,913.

Q.10 The population of a place increased to 54,000 in 2003 at a rate of 5% per annum

(i) find the population in 2001.

(ii) what would be its population in 2005?

Ans

(i) The population in the year 2003= 54,000 ∴54,000=(Population in 2001)(1+5100)2 54,000=(Population in 2001)(2120)2 Population in 2001=54,000×(2021)2 =48979.59Therefore, the population in the year 2001 was approximately 48,980.(ii) Population in 2005=54,000×(1+5100)2 =54,000×(1+120)2 =54,000×(2120)2 =59,535Therefore,the population in the year 2005 would be 59,535.

Q.11 In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5, 06,000.

Ans

The initial count of bacteria is given as 5,06,000. Bacteria at the end of 2 hours =5,06,000 ( 1+ 1 40 ) 2 =5,06,000 ( 41 40 ) 2 =5,06,000× 41 40 × 41 40 = 531616.25 Thus, the count of bacteria at the end of 2 hours will be 5,31,616 ( approx. ). MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@F34A@

Q.12 A scooter was bought at ₹ 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

Ans

Principal=Cost price of the scooter=₹ 42,000Depreciation=8%​ of ₹ 42,000 = 42000×8100=₹ 3,360∴Value after 1 year=₹ 42000−₹ 3360=₹ 38,640.

Please register to view this section

FAQs (Frequently Asked Questions)

1. What are the benefits of using the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3?

The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are quite helpful for preparing for exams. These solutions are offered in a PDF format that can be downloaded from Extramarks’ website. These solutions are offered by subject-matter experts at Extramarks. To get the answers to exercise questions, students must download the PDF version of the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8. Any questions about the exercise can be answered using these solutions. With the use of these solutions, students can also learn shortcuts and strategies for completing the solution more quickly. Exam results can be improved by employing the methods mentioned in the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3.

2. Where can a student find the solutions for NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3?

Among other exercises, the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.3 are available on the online learning resource Extramarks. Subject-matter specialists with years of classroom instruction expertise have created these solutions. For NCERT solutions Extramarks offers a PDF of these NCERT solutions that includes the answers to the exercise questions. These answers are beneficial for exam preparation and offer efficient review during the examination. Extramarks’ experts go through all the learning resources available on the Extramarks website to ensure that all of the NCERT solutions are reliable and complete. With the help of these solutions concepts and formulas can be thoroughly understood, Extramarks provides NCERT solutions, worksheets, interactive activities, an infinite number of practice questions, and more. To monitor the progress of students who have registered on the Extramarks website, the website offers adaptive quizzes, MCQs, and mock tests along with the NCERT solutions. In-depth reports and analysis are produced by the Extramarks experts to assist students to make the most of their learning experience on the learning platform. This performance analysis shows the students’ strong and weak areas, allowing them to work on the ideas they struggle with them so that they can perform well on the  NCERT solutions.